Home / 3,982.84-5,974.48-1,209.60

Finding the Fourth Proportional to 3,982.84, 5,974.48 and 1,209.60

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Solution

The fourth proportional to 3,982.84, 5,974.48 and 1,209.60 is: 1,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.84 : 5,974.48 = 1,209.60 : x
  2. Step 2: Convert to fraction form
    3,982.84/5,974.48 = 1,209.60/x
  3. Step 3: Cross multiply
    3,982.84x = 5,974.48 × 1,209.60
  4. Step 4: Simplify right side
    3,982.84x = 7,226,732.52
  5. Step 5: Solve for x
    x = 7,226,732.52/3,982.84
  6. Step 6: Final answer
    x = 1,814.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.